What are the arithmetic and geometric average returns for a stock with annual returns of 6 percent, 9 percent, −3 percent, and 17 percent?

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

See below

Step-by-step explanation:

Amount of water in pool = 14 000 -  .5 x       where x is in minutes

1.5 hr = 90 minutes

amount of water in pool =  14 000 - .5(90) = 13 955 gal

Answer:

The shoes would cost $46.24

Step-by-step explanation:

68 x 0.15 = 10.2

68 - 10.2 = 57.8

57.8 x 0.20 = 11.56

57.8 - 11.56 = 46.24

9514 1404 393

Answer:

  80.38°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...

  tan(α) = 236/40

  α = arctan(236/40) ≈ 80.38°

Answer:

C.5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The maximum number of mangos that Jaxson could buy is 7 mangoes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here.
Jaxson decided to buy 6 bananas,
Cost of 6 bananas

= 0.90x6
= $5.4

Money left to buy mangos

= 9.10-5.4
=$3.7

The cost of mangos is $0.50 each.
The number of mangoes is given as

= 3.7/0.50
=7.4
≈7

Thus, the maximum number of mangos that Jaxson could buy was 7 mangoes.

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Answer:

124 students

Step-by-step explanation:

Girls participating in the exercise

4/15 x 285 = 76

Boys participating in the exercise

3/20 x 320 = 48

Total students participating

76 + 48 = 124

Answer:

\(\dfrac{dy}{dx}=\cot x+\dfrac{1}{x}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{6 cm}\underline{Product\:Rule}\\\\$\dfrac{d}{dx}[f(x)g(x)]=f(x)g'(x)+f'(x)g(x)$\\\\\\\underline{Chain\:Rule}\\\\$\dfrac{dy}{dx}=\dfrac{dy}{du} \times \dfrac{du}{dx}$\\\end{minipage}}\)

\(\textsf{Given}:y=\log (x \sin x)\)

\(\textsf{Let }u=x \sin x \implies y=\log(u)\)

Using the product rule, differentiate y with respect to \(u\):

\(\textsf{If }y=\log(u) \implies \dfrac{dy}{du}=\dfrac{1}{u}\implies \dfrac{dy}{du}=\dfrac{1}{x \sin x}\)

----------------------------------------------------------------------------------------

Differentiate \(u=x \sin x\) with respect to x using the product rule:

\(\implies \textsf{Let }f(x)=x \implies f'(x)=1\)

\(\implies \textsf{Let }g(x)=\sin x \implies g'(x)=\cos x\)

\(\implies \dfrac{du}{dx}=x \cos x + \sin x\)

----------------------------------------------------------------------------------------

Use the chain rule to differentiate y with respect to x:

\(\implies \dfrac{dy}{dx}=\dfrac{dy}{du} \times \dfrac{du}{dx}\)

\(\implies \dfrac{dy}{dx}=\dfrac{1}{x \sin x} \times (x \cos x + \sin x)\)

\(\implies \dfrac{dy}{dx}=\dfrac{x \cos x + \sin x}{x \sin x}\)

\(\implies \dfrac{dy}{dx}=\dfrac{x \cos x}{x \sin x}+\dfrac{\sin x}{x \sin x}\)

\(\implies \dfrac{dy}{dx}=\cot x+\dfrac{1}{x}\)

Answer:

\(\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{1}{x\ln 10} + \dfrac{\cot x}{\ln 10}}\)

Step-by-step explanation:

Given:

\(\displaystyle \large{y=\log (x\sin x)}\)

Recall the (common) logarithmic differentiation & chain rules:

\(\displaystyle \large{\dfrac{d}{dx}[\log (u)] = \dfrac{u'}{u\ln 10}}\)

Let \(\displaystyle \large{u=x\sin x}\) then:

\(\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{(x\sin x)'}{x\sin x \ln 10}}\)

Recall product rules:

\(\displaystyle \large{[f(x)g(x)]' = f'(x)g(x)+f(x)g'(x)}\)

Hence:

\(\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{(x)'\sin x + x(\sin x)'}{x\sin x \ln 10}}\\\\\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{\sin x + x\cos x}{x\sin x \ln 10}}\\\\\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{\sin x}{x \sin x \ln 10} + \dfrac{x \cos x}{x\sin x \ln 10}}\\\\\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{1}{x\ln 10} + \dfrac{\cot x}{\ln 10}}\)

From above, recall that:

\(\displaystyle \large{\dfrac{d}{dx}(\sin x) = \cos x}\\\\\displaystyle \large{\dfrac{A\pm B}{C} = \dfrac{A}{C} \pm \dfrac{B}{C}}\\\\\displaystyle \large{\dfrac{\cos x}{\sin x} =\cot x}\)

Hence, the answer is:

\(\displaystyle \large{\dfrac{d}{dx}[\log(x\sin x)] = \dfrac{1}{x\ln 10} + \dfrac{\cot x}{\ln 10}}\)

Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:

\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),

where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).

In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:

\(\displaystyle \nabla \times \mathbf{H} =0\).

Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):

\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).

Using the curl identity and applying the chain rule, we can expand the expression:

\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:

\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Differentiating the cosine function with respect to \(\displaystyle x\):

\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).

Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).

Simplifying the equation:

\(\displaystyle \sin( 10^{10} t-600x) =0\).

The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):

\(\displaystyle 10^{10} t-600x =n\pi\),

where \(\displaystyle n\) is an integer. Rearranging the equation:

\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).

The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.

Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.

Thus, the correct expression for the magnetic flux density in the given medium is:

\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).

Answer:

Step-by-step explanation:

x² + 10x + 21 = x² + (3x + 7x) + 21

                    = (x² + 3x) + (7x + 21)

                    = x(x + 3) + 7(x + 3)

                    = (x + 3)(x + 7)  

Answer: D. Based on annual budgets

Step-by-step explanation:

The predetermined manufacturing overhead rate for a company will based on the annual budgets.

The predetermined overhead rate is usually calculated during the beginning of an accounting period and this is gotten by dividing the manufacturing overhead that has been estimated by an estimated activity base. It is used in the application of the manufacturing overhead to the job orders.

Answer:

If x is equal to the sum of the series 1+2+3+4, then the value of x is 10.

The sum of the series 1+2+3+4 is calculated by adding each term in the series:

1 + 2 + 3 + 4 = 10

So, x = 10.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

It is not possible to determine the value of x without knowing the upper limit of the series of numbers being added together. If the series of numbers being added together is finite, then x can be calculated by adding up all of the numbers in the series.

For example, if x is equal to the sum of the first ten positive integers (1+2+3+4+5+6+7+8+9+10), then x would be equal to 55.

To find the sum of the first n positive integers, you can use the formula:

x = (n * (n + 1)) / 2

where n is the number of integers in the series. For example, if n is equal to 4, then the formula would be:

x = (4 * (4 + 1)) / 2 = (4 * 5) / 2 = 20 / 2 = 10

This formula can be used to quickly and easily calculate the sum of the first n positive integers for any value of n.

Answer:

false

Step-by-step explanation:

It is 5 more 7+3 is 10 and 5+7 is 12

Answer:

false

Step-by-step explanation:

false coz 12 is 5 more than 7 not 3

The most that an engineer should be ready to spend on new bulbs is The cost is P=$100.68.

The term "electronic bulb" is also used to describe incandescent lamps, globes, and bulbs.A gadget that uses electricity to produce light is a light bulb. By passing current through a small wire known as a filament, light bulbs convert electrical energy into visible light. Tungsten, a substance that emits light when electricity is delivered through it, is typically used to make the filament.

The lightbulb is essentially a very thin filament of a difficult-to-melt metal, commonly tungsten, enclosed in a glass bulb filled with inert gases to prevent the filament from oxidising and disintegrating.

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Answer:

  p = 2

Step-by-step explanation:

A rational function has a vertical asymptote where the denominator is zero.

__

Your function will have a denominator that is zero when ...

  x -p = 0   ⇒   x = p

We are told there is a vertical asymptote at x = 2. That means ...

  p = 2

The increasing and decreasing function is discussed above.

Given is the function f(x).

Increasing and decreasing functions are functions in calculus for which the value of f(x) increases and decreases respectively with the increase in the value of x. We can write -

Therefore, the increasing and decreasing function is discussed above.

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The error that the manager made was that B. The manager divided 5/4 by 16 instead of dividing 4/5 by 16.

The information illustrates that the project manager is calculating work forecasts and he manager's team completed 4/5 of a job in 16 days.

Therefore, the amount that was done each day will be:

= 4/5 ÷ 16

= 4/5 × 1/16

= 4/80

= 1/20

Therefore, the error that the manager made was that the manager divided 5/4 by 16 instead of dividing 4/5 by 16. This was the reason that he got 5/64.

Therefore, the correct option is B.

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Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

The Answer is: 64 degrees

Answer:

64

Step-by-step explanation:

Just confirming this is the answer for edge 2021

Answer:

Step-by-step explanation:

a) Area of shape A= 17 (15z+1)

Area of A = 255z+17

b) Area of shape B

One way to find the solution is to take the area of

bigest rectangle ( z+z+8)*(z+4+6)

and subtract the two small rectangles

(z*(14-10)) and

(6*8)

Area of B= [(2z+8)(z+10)] -4z-48

=2z²+ 20z +8z +80 -4z-48 combine like terms

=2z² +24z +32

c) 225z+17 -2z² -24z -32 =

-2z²+201z -15

Answer:

3z

Step-by-step explanation:

When you write a number followed by a variable with no operation in between them, it means multiplication.

3 multiplied by z is 3 * z, but you can write it without the multiplication sign simply as 3z.

Answer:

1

Step-by-step explanation:

4/5 is closer to 1

Answer:

angle b

Step-by-step explanation:

let's assume the triangle is a right angle triangle . either angle a or c can be equal to 60 degree

Answer:

Step-by-step explanation:

Both still have the same profit. $2 for sandwiches and $3 for wraps. The only reason why there is a difference in the total amount is the change in number of sandwich or wrap sold in a given month. Therefore, next month's total sale is higher than last month's total sale making it safe to assume that the sale of sandwich or wrap is higher than last month's sale.

Answer:

undefined

Step-by-step explanation:

\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)

Slope of the line

\( = \frac{4 - ( - 3)}{1 - 1} \)

\( = \frac{7}{0} \)

(undefined)

Notice that the two points have the same x-coordinate of 1. This means that the line is a vertical line, and vertical lines have undefined slopes.

Answer:

Undefined slope

Step-by-step explanation:

(1, 4) and (1, −3)

Slope:

m=(y2-y1)/(x2-x1)

m=(-3-4)/(1-1)

m=(-7)/0

When 0 is the denominator, there's no slope since it's undefined.

Undefined slope

Answer:

Step-by-step explanation:

What is 3-3×6+2 please?

remember PEMDAS

3 - 3 × 6 + 2 =    (solve multiplication)

3 - 18 + 2 =         (solve addition)

3 - 16 =              (solve subtraction)

-13                     (result)